Question

√6+ √24 - √12-√8 = a) √2+√3-1 b) √5 + 1 + √2 + c) 12-13-1 d) 2+ 3+1

$\sqrt{6 + \sqrt{24 - \sqrt{12 - \sqrt{8} } } }$
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Given: 6 + 12−−√−24−−√−8–√

Rewriting above equation as:

⇒36−−√+12−−√−24−−√−8–√ {∵36−−√=6}⇒36−−√−24−−√+12−−√−8–√

Taking 12−−√ common from first two terms and 4–√ from other two terms, we get

⇒12−−√(3–√−2–√)+4–√(3–√−2–√)

Now, taking out (3–√−2–√) common from above equation, we get:

⇒(12−−√+4–√)(3–√−2–√)⇒4–√(3–√+1–√)(3–√−2–√) …(1)

Now, we know the value of 3–√ is 1.732 and of 2–√ is 1.414.

Hence, putting these values in (1), we get

∴2×(1.732+1)(1.732−1.414)⇒2×2.732×0.318⇒1.7375